姓名：魏广生 |
职称：教授 |
部门：基础数学系 |
研究方向：谱理论与数学物理反问题 |
邮箱：weimath@vip.sina.com |
个人简介
魏广生, 1988年毕业于内蒙古大学, 2001年6月毕业于西安交通大学，获理学博士学位，2001年9月至2004年10月在西安交通大学应用力学博士后流动站工作. 1988. 8 -2007.9: 在长安大学任讲师(1991)、副教授(1998)、教授(2003), 2007. 9-至今: 在陕西师范大学任教授 (博士生导师). 曾多次应邀赴日本东京大学、台湾中山大学、中科院数学研究所等学术访问. 主持完成4项国家自然科学面上项目、1项国家重大项目子课题、1项科技部项目和2项省部级项目. 已发表学术论文100余篇, 主要发表在《Transaction AMS》、《J.Math.Pures Appl.》、《J. Differential Equations》、《J. Funct. Anal.》、《J. London Math. Soc.》、《B. London Math. Soc.》、《Math. Nachr.》、《Israel J. Math.》、《Inverse Problems》、《Inverse Problems Imaging》、《J. Math.Phys.》、《数学学报》等刊物上.
主讲课程
数学分析、泛函分析、非线性分析、数学物理方程
科研论著
主要学术论文如下:
[1] X Wu, G Wei, The A-function related to the Titchmarsh-Weyl m-function of Sturm-Liouville operators, Journal of Differential Equations, (448), 2025, 113691, 26pp.
[2] Z Wei, G Wei, Mittag-Leffler expansions for inverse spectral problems with mixed data, Inverse Problems, 39 (2023), no. 11, No. 115008, 33 pp.
[3] G Wei, Z Zhang, The local Borg-Marchenko uniqueness theorem of matrix-valued Dirac-type operators for coefficients locally smooth at the right endpoint, Mathematische Nachrichten, 296 (2023), no. 8, 3711–3724.
[4] T Liu, G Wei, On simple and interlaced property of the zeros of two entire functions, Bull. Lond. Math. Soc., 55 (2023), no. 2, 933–944.
[5] L Yang, G Wei, V Pivovarchik, Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex, Inverse Problems and Imaging, 2021, 15, 257-270
[6] L Yang, Y Guo, G Wei, Inverse problem for a Stieltjes string damped at an interior point, Integral Equations Operator Theory 92 (2020), no. 4, no. 30, 16 pp.
[7] Z Wei, G Wei, Unique reconstruction of the potential for the interior transmission eigenvalue problem for spherically stratified media, Inverse Problems 36 (2020), no. 3, 035017, 20 pp.
[8] Y Guo, G Wei, The sharp conditions of the uniqueness for inverse nodal problems, Journal of Differential Equations, 266 (2019), no. 7, 4432–4449.
[9] Y Yang, G Wei, Inverse scattering problems for Sturm-Liouville operators with spectral parameter dependent boundary conditions, Mat. Zametki 103 (2018), no. 1, 65–74; Math. Notes 103 (2018), no. 1-2, 59–66.
[10] Y Guo, G Wei, Determination of differential pencils from dense nodal subset on an interior subinterval. Israel Journal of Mathematics, 2015, 206, 213-231.
[11] G Wei, H-K Xu, Inverse spectral analysis for the transmission eigenvalue problem. Inverse Problems, 2013, 29, 115012 (24pp).
[12] Y Guo, G Wei, Inverse problems: dense nodal subset on an interior subinterval. Journal of Differential Equations, 2013, 255, 2002-2017.
[13] G Wei, H-K Xu, Inverse spectral problem with partial information given on the potential and norming constants. Transactions of the American Mathematical Society, 2012, 364, 3265–3288.
[14] G Wei, Z Wei, Inverse spectral problem for Jacobi matrices with partial spectral data. Inverse Problems, 2011, 27, 075007(11pp).
[15] G Wei, H-K Xu, Inverse spectral problem for a string equation with partial information. Inverse Problems, 2010, 26, 115004(14pp).
[16] G Wei, H-K Xu, On the missing eigenvalue problem for an inverse Sturm–Liouville problem. Journal de Mathématiques Pures et Appliquées, 2009, 91, 468–475.
[17] G Wei, Z Xu, An expanded Phillips theory and its application for differential operators. Journal of Functional Analysis, 2005, 222, 29-60.
[18] G Wei, Y Jiang, A characterization of positive self-adjoint extensions of symmetric operators and its application to ordinary differential operators. Proceedings of the American Mathematical Society, 2005, 133, 2985-2995.
[19] Z Xu, G Wei, P Fergola, Maximal accretive realizations of regular Sturm-Liouville operators. Journal of London Mathematical Society, 2002, 66, 175-197.
[20] G Wei, Z Xu, J Sun, Self-adjoint domains of products of differential expressions. Journal of Differential Equations, 2001, 174, 75-90.
科研项目
1) 国家自然科学基金面上项目(10771165)，不定型Sturm-Liouville问题谱与逆谱理论，2008.01-2010.12，主持人
2) 国家自然科学基金面上项目 (11171198)，具有间断点的振动系统的逆谱问题，2012.01-2015.12，主持人
3) 国家自然科学基金面上项目 (11571212)，奇异微分算子的反谱与反散射问题，2016.01-2019.12, 主持人
4) 国家自然科学基金面上项目 (11971284)，基于混合谱数据的Krein弦方程的逆问题研究, 2020.01-2023.12，主持人
5) 国家自然科学基金重大项目子课题, 致密油气储层中波的散射与衰减效应研究, 2015.01-2018.12, 主持人
6) 中国-乌克兰政府间科技交流项目, 图上有限维和无穷维谱与逆谱问题研究, 2022.01-2023.12, 主持人
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